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Simplifying 8w + -14 = 5w + 16 Reorder the terms: -14 + 8w = 5w + 16 Reorder the terms: -14 + 8w = 16 + 5w Solving -14 + 8w = 16 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -14 + 8w + -5w = 16 + 5w + -5w Combine like terms: 8w + -5w = 3w -14 + 3w = 16 + 5w + -5w Combine like terms: 5w + -5w = 0 -14 + 3w = 16 + 0 -14 + 3w = 16 Add '14' to each side of the equation. -14 + 14 + 3w = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = 16 + 14 3w = 16 + 14 Combine like terms: 16 + 14 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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